CPM Homework Help : A2C Problem 11-173

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Home > A2C > Chapter 11 > Lesson 11.3.4 > Problem 11-173

11-173.

Simplify each expression. Assume the denominator does not equal zero.

$\frac { 3 x + 2 } { x + 2 } + \frac { x - 5 } { 2 x + 4 }$
Hint (a):
Find the least common denominator.
$\frac{3x+2}{x+2}+\frac{x-5}{2(x+2)}$
$\frac{2(3x+2)}{2(x+2)}+\frac{x-5}{2(x+2)}$
Answer (a):
$\frac{7x-1}{2x+4}$

$\frac { 5 } { x ^ { 2 } - 4 } - \frac { 3 } { x + 2 }$
Hint (b):
Factor and then find the least common denominator.
Answer (b):
$\frac{-3x+11}{x^2-4}$

$\frac { 2 x ^ { 2 } + 3 x + 1 } { x ^ { 2 } - 4 } \div \frac { 2 x + 1 } { x + 2 }$
Hint (c):
Use the reciprocal to write the expression as a product, then factor and eliminate the common factors.

$\frac { x ^ { 3 } - 125 } { 3 x ^ { 2 } - 13 x - 10 }$
Hint (d):
Factor, then eliminate the common factors.

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